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16972852260 = 223572133591237
BaseRepresentation
bin11111100111010100…
…10010110000100100
31121210212102020012210
433303222102300210
5234230022233020
611444111043420
71140413602200
oct176352226044
947725366183
1016972852260
11721a807131
123358210570
1317a64a9760
14b70253b00
156951133e0
hex3f3a92c24

16972852260 has 288 divisors, whose sum is σ = 59749643520. Its totient is φ = 3568223232.

The previous prime is 16972852213. The next prime is 16972852271. The reversal of 16972852260 is 6225827961.

16972852260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13720362 + ... + 13721598.

It is an arithmetic number, because the mean of its divisors is an integer number (207464040).

Almost surely, 216972852260 is an apocalyptic number.

16972852260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16972852260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29874821760).

16972852260 is an abundant number, since it is smaller than the sum of its proper divisors (42776791260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16972852260 is a wasteful number, since it uses less digits than its factorization.

16972852260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 16972852260 in words is "sixteen billion, nine hundred seventy-two million, eight hundred fifty-two thousand, two hundred sixty".